13455711360 has 1024 divisors, whose sum is σ = 60318720000. Its totient is φ = 2759049216.

The previous prime is 13455711359. The next prime is 13455711377. The reversal of 13455711360 is 6311755431.

13455711360 is a `hidden beast` number, since 1 + 3 + 455 + 71 + 136 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67616541 + ... + 67616739.

It is an arithmetic number, because the mean of its divisors is an integer number (58905000).

Almost surely, 2^13455711360 is an apocalyptic number.

13455711360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13455711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30159360000).

13455711360 is an abundant number, since it is smaller than the sum of its proper divisors (46863008640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13455711360 is a wasteful number, since it uses less digits than its factorization.

13455711360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 13455711360 in words is "thirteen billion, four hundred fifty-five million, seven hundred eleven thousand, three hundred sixty".